\( A B \) is a diameter of a circle and \( C \) is any point on the circumference of the circle....

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\( A B \) is a diameter of a circle and \( C \) is any point on the circumference of the circle. Then,
(A) the area of \( \triangle A B C \) is maximum when it is isosceles
(B) the area of \( \triangle A B C \) is minimum when it is isosceles
(C) the perimeter of \( \triangle A B C \) is maximum when it is isosceles
(D) none of these
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